Henry sold a bicycle at 8% gain. Had it been sold for $ 75 more, the gain would have been 14%. Find the cost price of the bicycle.
Answers
Step-by-step explanation:
Let the cost price of the bicycle be $ x.
SP of the bicycle at 8% gain = $ [{(100 + gain %) /100} × CP]
= $ [{(100 + 8)/100} × x]
= $ {(108/100) × x}
= $ (27x/25)
SP of the bicycle at 14% gain = $ [{(100 + 14)/100} × x]
= $ {(114/100) × x}
= $ (57 x/50)
Therefore, (57 x /50) - (27 x/25) = 75
⇔ (57 x – 54 x)/50 = 75
⇔ 3 x = (50 × 75)
⇔ x = (50 × 25)
⇔ x = 1250
Hence the CP of the bicycle is $ 1250.
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Answer:
Step-by-step explanation:
Let the cost price of the bicycle be $ x.
SP of the bicycle at 8% gain = $ [{(100 + gain %) /100} × CP]
= $ [{(100 + 8)/100} × x]
= $ {(108/100) × x}
= $ (27x/25)
SP of the bicycle at 14% gain = $ [{(100 + 14)/100} × x]
= $ {(114/100) × x}
= $ (57 x/50)
Therefore, (57 x /50) - (27 x/25) = 75
⇔ (57 x – 54 x)/50 = 75
⇔ 3 x = (50 × 75)
⇔ x = (50 × 25)
⇔ x = 1250$